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Let us note that the surface integral of this 2-form is the same as the surface integral of the vector field which has as components, and.
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Let and us
Let us look in on one of these nerve centers -- SAC at Omaha -- and see what must still happen before a wing of B-52 bombers could drop their Aj.
Let us not confuse the issue by labeling the objective or the method `` psychoanalytic '', for this is a well established term of art for the specific ideas and procedures initiated by Sigmund Freud and his followers for the study and treatment of disordered personalities.
Let us quote once more from R. G. Collingwood: `` History is properly concerned with the actions of human beings Regarded from the outside, an action is an event or series of events occurring in the physical world ; ;
Let us survey for a moment the development of modern thought -- turning our attention from the Reformation toward the revolutionary and romantic movements that follow and dwelling finally on more recent decades.
Let us, like the French, have outdoor cafes where we may relax, converse at leisure and enjoy the passing crowd.
Let us assume that it would be possible for an enemy to create an aerosol of the causative agent of epidemic typhus ( Rickettsia prowazwki ) over City A and that a large number of cases of typhus fever resulted therefrom.
Let us now put some flesh on the theoretical bones we have assembled by giving illustrations of roleplaying used for evaluation and analysis.
Let us also assume the existence of only one class or type of service, all of which is supplied at the same voltage, phase, etc. to residential, commercial, and industrial customers.
Let us therefore consider each of the three types of cost in turn, recognizing that this simplified classification is used only for illustrative purposes ; ;
Let us take a set of circumstances in which I happen to be interested on the legislative side and in which I think every one of us might naturally make such a statement.
Let and note
Let him chafe with impatience to see Charles, rip open the note with trembling hands and read the formal report in Hillman's beautiful, schoolmaster's hand.
Let ( A < sub > i </ sub >)< sub > i ∈ I </ sub > be a family of groups and suppose we have a family of homomorphisms f < sub > ij </ sub >: A < sub > j </ sub > → A < sub > i </ sub > for all i ≤ j ( note the order ) with the following properties:
" He did however add this caveat, " Let me emphasize that this note is not a plea for a return to a gold standard ....
Let E → M be a vector bundle of rank k and let F ( E ) be the principal frame bundle of E. Then a ( principal ) connection on F ( E ) induces a connection on E. First note that sections of E are in one-to-one correspondence with right-equivariant maps F ( E ) → R < sup > k </ sup >.
In response to McCartney's Lennon-esque track " Let Me Roll It " on the Band on the Run album, Lennon took the guitar riff note for note and incorporated it into " Beef Jerky ".
Let us note, that these three axioms of a curvature structure give rise to a well-developed structure theory, formulated in terms of projectors ( a Weyl projector, giving rise to Weyl curvature and an Einstein projector, needed for the setup of the Einsteinian gravitational equations ).
In the Sacred Harp and other shape note singing traditions, the tune is sung with the text " O Come, Loud Anthems Let Us Sing ," a metrical paraphrase of Psalm 95 from Tate and Brady's A New Version of the Psalms of David.
The introduction of the most recent edition by Walter Kaufmann and R. J. Hollingdale offers both praise and criticism for Ludovici's edition, saying that, " Dr. Levy was probably quite right when in a prefatory note he called Ludovici ' the most gifted and conscientious of my collaborators ,' but unfortunately this does not mean that Ludovici's translations are roughly reliable .... Let us say that Ludovici was not a philosopher, and let it go at that.
Let us note that Mustafa Kemal, who Aubrey knew from Gallipoli, had fallen out with Enver Pasha over the way-by personal order of the Sultan-his command over the Seventh Army opposite Allenby in Syria had been bestowed on him on 5 July ( he had been a Staff Captain with the Fifth Army in Damascus in 1905 ).
Let us also note the délit de fuite — fleeing the scene of an accident with the knowledge that it had resulted in severe bodily harm to other parties or fleeing from the police.
Let S < sup > n </ sup > denote the n-sphere and note that it is ( n − 1 )- connected so that the groups π < sub > n + k </ sub >( S < sup > n </ sup >) stabilize for
Smith's use of a dream sequence in Let Me Dream Again ( 1900 ), but is careful to note the precariousness of claiming any film the first to feature dream sequence given the rapid transnational development of cinema in its early years and that so many films from the period have been lost.
Let f ( z ) and g ( z ) be two complex polynomials of degree at most n with coefficients ( note that any coefficient could be zero ):
# Let Us Praise or Venerable Books ( 尊經 ; Zūn jīng ), a list of sacred books followed by a short note ; contained in the above manuscript in Paris, Bib.
Let and surface
Let Q be a nonsingular quadric surface bearing reguli Af and Af, and let **zg be a Af curve of order K on Q.
Let M be a smooth manifold of dimension n ; for instance a surface ( in the case n = 2 ) or hypersurface in the Cartesian space R < sup > n + 1 </ sup >.
Let the surface of the sphere be S. The volume of the cone with base area S and height r is, which must equal the volume of the sphere:.
Let us introduce the factor f < sub > j </ sub > that describes how the actual charge density differs from the average and itself on a position on the surface of the j-th conductor:
Let us notice that we defined the surface integral by using a parametrization of the surface S. We know that a given surface might have several parametrizations.
Suppose that c is a simple closed curve in a closed, orientable surface S. Let A be a tubular neighborhood of c. Then A is an annulus and so is homeomorphic to the Cartesian product of
Let X be the infinite cyclic cover of the knot complement of K. This covering can be obtained by cutting the knot complement along a Seifert surface of K and gluing together infinitely many copies of the resulting manifold with boundary in a cyclic manner.
Let us look at the surface of the earth: here the ground is flat ; there it is hilly and mountainous ; in other places it is sandy ; in others it is barren ; and elsewhere it is productive.
Let us consider a simple example of a body of mass, M, having an acceleration, a, and surface area, A, of the surface upon which the accelerating force is acting.
1.862 seconds.